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Finding the Fourth Proportional to 42,896.52, 59,198.82 and 24,033

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Solution

The fourth proportional to 42,896.52, 59,198.82 and 24,033 is: 33,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.52 : 59,198.82 = 24,033 : x
  2. Step 2: Convert to fraction form
    42,896.52/59,198.82 = 24,033/x
  3. Step 3: Cross multiply
    42,896.52x = 59,198.82 × 24,033
  4. Step 4: Simplify right side
    42,896.52x = 1,422,725,241.06
  5. Step 5: Solve for x
    x = 1,422,725,241.06/42,896.52
  6. Step 6: Final answer
    x = 33,166.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.